2957011453440 has 2400 divisors, whose sum is σ = 12743984689920. Its totient is φ = 647958528000.

The previous prime is 2957011453439. The next prime is 2957011453507. The reversal of 2957011453440 is 443541107592.

2957011453440 is a `hidden beast` number, since 2 + 9 + 5 + 70 + 1 + 1 + 4 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41648048605 + ... + 41648048675.

Almost surely, 2^{2957011453440} is an apocalyptic number.

2957011453440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2957011453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371992344960).

2957011453440 is an abundant number, since it is smaller than the sum of its proper divisors (9786973236480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2957011453440 is a wasteful number, since it uses less digits than its factorization.

2957011453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2957011453440 in words is "two trillion, nine hundred fifty-seven billion, eleven million, four hundred fifty-three thousand, four hundred forty".